On the -uniformly close to convex functions with respect to a convex domain.
Blezu, Dorin (2001)
General Mathematics
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Displaying similar documents to “Some subclasses of -uniformly convex functions.”
On the -uniformly close to convex functions with respect to a convex domain.
Applications of the Owa-Srivastava Operator to the Class of K-Uniformly Convex Functions
Mishra, A. K., Gochhayat, P. (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15 By making use of the fractional differential operator Ω^λz (0 ≤ λ < 1) due to Owa and Srivastava, a new subclass of univalent functions denoted by k−SPλ (0 ≤ k < ∞) is introduced. The class k−SPλ unifies the concepts of k-uniformly convex functions and k-starlike functions. Certain basic properties of k − SPλ such as inclusion theorem, subordination theorem, growth theorem and class preserving...
On uniformly convex functions
A. W. Goodman (1991)
Annales Polonici Mathematici
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We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
Superordination results in the complex plane.
Bălăeţi, Camelia Mădălina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Convolution and differential subordination for multivalent functions.
Supramaniam, Shamani, Ali, Rosihan M., Lee, See Keong, Ravichandran, V. (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Starlike and convex functions with respect to conjugate points.
Ravichandran, V. (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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A new integral univalent operator.
Breaz, Daniel, Owa, Shigeyoshi, Breaz, Nicoleta (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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A note on subclasses of univalent functions defined by a generalized Sălăgean operator.
Cătaş, Adriana (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Some Notes about a Class of Univalent Functions with Negative Coefficients
Pashkouleva, Donka (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45, 30C50 The object of this paper is to obtain sharp results involving coefficient bounds, growth and distortion properties for some classes of analytic and univalent functions with negative coefficients.
Hyperbolically convex functions II
William Ma, David Minda (1999)
Annales Polonici Mathematici
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Unlike those for euclidean convex functions, the known characterizations for hyperbolically convex functions usually contain terms that are not holomorphic. This makes hyperbolically convex functions much harder to investigate. We give a geometric proof of a two-variable characterization obtained by Mejia and Pommerenke. This characterization involves a function of two variables which is holomorphic in one of the two variables. Various applications of the two-variable characterization...
Differential subordinations defined by using Sălăgean differential operator at the class of meromorphic functions.
Oros, Georgia Irina (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Differential subordinations and superordinations for analytic functions defined by the generalized Sălăgean derivative.
Nechita, Veronica Oana (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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On a class of -convex functions.
Acu, Mugur (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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A Note on Univalent Functions with Finitely many Coefficients
Darus, M., Ibrahim, R. (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 30C45 The main object of this article is to introduce sufficient conditions of univalency for a class of analytic functions with finitely many coefficients defined by approximate functions due to Suffridge on the unit disk of the complex plane whose image is saddle-shaped. Sandwich theorem is also discussed.